If an Atom was the size of a grain of salt

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If an atom were scaled to the size of a grain of salt, a helium atom would be approximately 100 meters wide, while a caesium atom would measure around 16 meters. This comparison highlights the vast difference in size between atoms and everyday objects. The discussion also explores the size of transistors, with a phosphorous atom being roughly 180 picometers, suggesting that a grain of salt could represent about 55.56 meters in this context. The calculations emphasize the significant scale disparity in atomic dimensions. Overall, the conversation centers on understanding atomic sizes through relatable measurements.
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What object would represent the size of a grain of salt at this scale?

Would it be bigger than Earth?
 
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Embison said:
What object would represent the size of a grain of salt at this scale?

Would it be bigger than Earth?
Is this a homework problem?

What are your thoughts on your problem?
 
The smallest atom is helium at ~30pm, a very large atom like caesium is ~225pm. Salt obviously varies in size but let's say it's particularly fine at 100μm then a helium atom is ~3 millionth of the size and a caesium atom is ~0.5 millionth of the size. So if a helium atom was as large as a grain of salt a grain of salt would be ~100m wide and for a caesium atom it would be ~16m wide.

I'm pretty sure my math is correct there :wink:
 
No. I'm reading this...

http://nextbigfuture.com/2012/02/single-atom-transistor-is-perfect.html?m=1

and I'm curious about how small that really is.
 
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If I remember correctly, an atom is roughly in the 10^-11 - 10^-10 scale, and an average grain of salt could have a diameter of, let's say, 10^-3 m (assuming it's a sphere).

This leaves you with a diameter ratio of about 50 million.
 
So what object would represent the size of the grain of salt?
 
Embison said:
So what object would represent the size of the grain of salt?
See my post #3 above.
 
I did but you didnt mention any objects.
 
Embison said:
I did but you didnt mention any objects.
16 metres long is roughly five cars. 100 metres long is roughly the width of the international space station. That's obviously just length so use your imagination to make it 3d.
 
  • #10
Ryan_m_b said:
The smallest atom is helium at ~30pm
A hydrogen would be a bit smaller, being a single proton.
 
  • #11
Thanks Ryan. I wasnt sure if you meant miles or meters.

Is it possible to estimate which atomic scale that transistor was manufactured at from the link I posted? And what size would a grain of salt represent from my original question compared to the size of that transistor?

Thank you for any help!
 
  • #13
Embison said:
Thanks Ryan. I wasnt sure if you meant miles or meters.

Is it possible to estimate which atomic scale that transistor was manufactured at from the link I posted? And what size would a grain of salt represent from my original question compared to the size of that transistor?

Thank you for any help!
Well the atom they mention is phosphorous which is roughly 180pm in size (note that atom "size" can vary based on how they bond IIRC).

Taking a grain of salt to be 100μm in size: 100000000pm/180pm = 555555.55
100μm*555555.55 = 55555555μm = 55555.555mm = 55.555555m

So a grain of salt would be ~half the size of a 100m sprint track.
 
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